Generalized fuzzy rough approximation operators determined by fuzzy implicators
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Publication:2353958
DOI10.1016/j.ijar.2013.05.004zbMath1316.68198OpenAlexW2070414878MaRDI QIDQ2353958
Publication date: 10 July 2015
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2013.05.004
rough setsfuzzy rough setsapproximation operatorsfuzzy topologiesfuzzy implicatorsfuzzy logical connectives
Fuzzy logic; logic of vagueness (03B52) Reasoning under uncertainty in the context of artificial intelligence (68T37)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The relationship between \(L\)-fuzzy rough set and \(L\)-topology
- Nearness approximation space based on axiomatic fuzzy sets
- Fuzzy rough sets, fuzzy preorders and fuzzy topologies
- Fuzzy preorder and fuzzy topology
- On fuzzy approximation operators in attribute reduction with fuzzy rough sets
- Generalized fuzzy rough sets determined by a triangular norm
- Local reduction of decision system with fuzzy rough sets
- Gaussian kernel based fuzzy rough sets: model, uncertainty measures and applications
- Fuzzy topological spaces and fuzzy compactness
- Fuzzy implication operators and generalized fuzzy method of cases
- On the relationship of extended necessity measures to implication operators on the unit interval
- Fuzzy-rough attribute reduction with application to web categorization.
- Constructive and axiomatic approaches of fuzzy approximation operators.
- An axiomatic characterization of a fuzzy generalization of rough sets.
- Triangular norms
- A comparative study of fuzzy rough sets
- A general frame for intuitionistic fuzzy rough sets
- On the topological properties of fuzzy rough sets
- Generalized fuzzy rough sets
- Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
- Generalization of Pawlak's rough approximation spaces by using \(\delta \beta \)-open sets
- Axiomatics for fuzzy rough sets
- On fuzzy rough sets based on tolerance relations
- Axiomatic systems for rough sets and fuzzy rough sets
- One-to-one correspondence between fuzzifying topologies and fuzzy preorders
- Axiomatic systems for rough set-valued homomorphisms of associative rings
- Learning fuzzy rules from fuzzy samples based on rough set technique
- On characterizations of \((\mathcal J,\mathcal T)\)-fuzzy rough approximation operators
- \(I\)-fuzzy Alexandrov topologies and specialization orders
- Rough fuzzy approximations on two universes of discourse
- On Some Mathematical Structures of T-Fuzzy Rough Set Algebras in Infinite Universes of Discourse
- Some Mathematical Structures of Generalized Rough Sets in Infinite Universes of Discourse
- ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
- Rough sets
- UPPER AND LOWER APPROXIMATIONS OF FUZZY SETS
- On Fuzzy Topological Structures of Rough Fuzzy Sets
- Transactions on Rough Sets II
- Fuzzy topological spaces
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